Geometry Seminar

University of Tor Vergata, Department of Mathematics

7^th  of November 2023, 14:00-15:00, room “Dal Passo”

Deformations of stability conditions

Emanuele Macrì
Laboratoire de Mathematiques d'Orsay 

Bridgeland stability conditions have been introduced about 20 years ago, with motivations both from algebraic geometry, representation theory and physics.
One of the fundamental problem is that we currently lack methods to construct and study such stability conditions in full  generality.

In this talk I would present a new technique to construct stability conditions by deformations, based on joint works with Li, Perry, Stellari and Zhao.
As application, we can construct stability conditions on very general abelian varieties and deformations of Hilbert schemes of points on K3 surfaces.

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry